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Finding the Fourth Proportional to 7,038.31, 10,569.54 and 6,249.45

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Solution

The fourth proportional to 7,038.31, 10,569.54 and 6,249.45 is: 9,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.31 : 10,569.54 = 6,249.45 : x
  2. Step 2: Convert to fraction form
    7,038.31/10,569.54 = 6,249.45/x
  3. Step 3: Cross multiply
    7,038.31x = 10,569.54 × 6,249.45
  4. Step 4: Simplify right side
    7,038.31x = 66,053,811.75
  5. Step 5: Solve for x
    x = 66,053,811.75/7,038.31
  6. Step 6: Final answer
    x = 9,384.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.